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Finding the Third Proportional to 160,926 and 240,309

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Solution

The third proportional to 160,926 and 240,309 is: 358,850.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,926 : 240,309 = 240,309 : x
  2. Step 2: Convert to fraction form
    160,926/240,309 = 240,309/x
  3. Step 3: Cross multiply
    160,926x = 240,309 × 240,309
  4. Step 4: Simplify right side
    160,926x = 57,748,415,481
  5. Step 5: Solve for x
    x = 57,748,415,481/160,926
  6. Step 6: Final answer
    x = 358,850.75

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.